Judy's Cake Shop makes fresh cakes to customer orders. After receiving the order by Judy's assistant, which takes 2 minutes, Judy then takes 8 minutes to mix the ingredients for the cake and loads a cake pan for baking. Then the cake is put into one of the three mini-ovens for 25 minutes. One mini-oven can bake one cake at a time. When the cake is taken out of the oven, it is cooled for 1 hour. The assistant then takes 2 minutes to pack the cake and bills the customer, which takes 3 minutes.

If on average five orders are taken per hour and the average time between receiving an order and billing the customer is 120 minutes, what is the average number of cakes in the process?